2537688890880 has 2240 divisors, whose sum is σ = 11049932634048. Its totient is φ = 550376570880.

The previous prime is 2537688890861. The next prime is 2537688890911. The reversal of 2537688890880 is 880988867352.

2537688890880 is a `hidden beast` number, since 2 + 537 + 6 + 8 + 8 + 8 + 9 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2537688890799 and 2537688890808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9874275712 + ... + 9874275968.

Almost surely, 2^{2537688890880} is an apocalyptic number.

2537688890880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2537688890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524966317024).

2537688890880 is an abundant number, since it is smaller than the sum of its proper divisors (8512243743168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2537688890880 is a wasteful number, since it uses less digits than its factorization.

2537688890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 2537688890880 in words is "two trillion, five hundred thirty-seven billion, six hundred eighty-eight million, eight hundred ninety thousand, eight hundred eighty".